107.59 is what percent of 40910.78 - step by step solution

To get the solution, we are looking for, we need to point out what we know.

1. We assume, that the number 40910.78 is 100% - because it's the output value of the task.
2. We assume, that x is the value we are looking for.
3. If 100% equals 40910.78, so we can write it down as 100%=40910.78.
4. We know, that x% equals 107.59 of the output value, so we can write it down as x%=107.59.
5. Now we have two simple equations:
1) 100%=40910.78
2) x%=107.59
where left sides of both of them have the same units, and both right sides have the same units, so we can do something like that:
100%/x%=40910.78/107.59
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 107.59 is what percent of 40910.78

100%/x%=40910.78/107.59
(100/x)*x=(40910.78/107.59)*x       - we multiply both sides of the equation by x
100=380.24704898225*x       - we divide both sides of the equation by (380.24704898225) to get x
100/380.24704898225=x
0.26298691934009=x
x=0.26298691934009

now we have:
107.59 is 0.26298691934009% of 40910.78